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Finding the Third Proportional to 4,634.81 and 9,998.81

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Solution

The third proportional to 4,634.81 and 9,998.81 is: 21,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.81 : 9,998.81 = 9,998.81 : x
  2. Step 2: Convert to fraction form
    4,634.81/9,998.81 = 9,998.81/x
  3. Step 3: Cross multiply
    4,634.81x = 9,998.81 × 9,998.81
  4. Step 4: Simplify right side
    4,634.81x = 99,976,251.41
  5. Step 5: Solve for x
    x = 99,976,251.41/4,634.81
  6. Step 6: Final answer
    x = 21,570.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.